{"id":975,"date":"2021-10-08T12:56:56","date_gmt":"2021-10-08T12:56:56","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=975"},"modified":"2021-10-14T22:11:36","modified_gmt":"2021-10-14T15:11:36","slug":"nhan-da-thuc-voi-da-thuc-thuc-hanh-toan-8-cung-toppy","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/nhan-da-thuc-voi-da-thuc-thuc-hanh-toan-8-cung-toppy\/","title":{"rendered":"Nh\u00e2n \u0111a th\u1ee9c v\u1edbi \u0111a th\u1ee9c \u2013 Th\u1ef1c h\u00e0nh to\u00e1n 8"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nh\u00e2n \u0111a th\u1ee9c v\u1edbi \u0111a th\u1ee9c l\u1edbp 8 l\u00e0 ph\u1ea7n ki\u1ebfn th\u1ee9c v\u00f4 c\u00f9ng quan tr\u1ecdng, c\u00f3 li\u00ean quan ch\u1eb7t s\u1ebd v\u1edbi nh\u1eefng b\u00e0i h\u1ecdc \u0111\u1ea1i s\u1ed1 ti\u1ebfp theo. Tuy nhi\u00ean c\u00e1c b\u00e0i t\u1eadp \u0111a d\u1ea1ng c\u0169ng khi\u1ebfn nhi\u1ec1u <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc sinh<\/a> ng\u00e1n ng\u1ea9m. Nh\u01b0ng \u0111\u1eebng qu\u00e1 lo l\u1eafng nh\u00e9! H\u00f4m nay, Vietlearn s\u1ebd chia s\u1ebb \u0111\u1ebfn c\u00e1c b\u1ea1n c\u00f4ng th\u1ee9c t\u1ed5ng qu\u00e1t c\u00f9ng m\u1ed9t s\u1ed1 b\u00e0i t\u1eadp \u1ee9ng d\u1ee5ng v\u1ec1 ch\u1ee7 \u0111\u1ec1 nh\u00e2n \u0111a th\u1ee9c v\u1edbi \u0111a th\u1ee9c ngay sau \u0111\u00e2y!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quy t\u1eafc nh\u00e2n \u0111a th\u1ee9c v\u1edbi \u0111a th\u1ee9c<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quy t\u1eafc nh\u00e2n \u0111a th\u1ee9c v\u1edbi \u0111a th\u1ee9c \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng xuy\u00ean su\u1ed1t trong qu\u00e1 tr\u00ecnh h\u1ecdc \u0111\u1ea1i s\u1ed1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quy t\u1eafc n\u00e0y \u0111\u01b0\u1ee3c ph\u00e1t bi\u1ec3u nh\u01b0 sau: Mu\u1ed1n nh\u00e2n m\u1ed9t \u0111a th\u1ee9c v\u1edbi m\u1ed9t \u0111a th\u1ee9c, ta nh\u00e2n t\u1eebng h\u1ea1ng t\u1eed c\u1ee7a \u0111a th\u1ee9c n\u00e0y, v\u1edbi t\u1eebng h\u1ea1ng t\u1eed c\u1ee7a \u0111a th\u1ee9c kia, r\u1ed3i c\u1ed9ng c\u00e1c h\u1ea1ng t\u1eed l\u1ea1i v\u1edbi nhau.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1ch nh\u00e2n \u0111a th\u1ee9c v\u1edbi \u0111a th\u1ee9c \u0111\u01b0\u1ee3c ph\u00e1t tri\u1ec3n t\u1eeb c\u00f4ng th\u1ee9c \u0111\u01a1n th\u1ee9c nh\u00e2n \u0111a th\u1ee9c. Quy t\u1eafc n\u00e0y \u0111\u01b0\u1ee3c th\u1ec3 hi\u1ec7n b\u1edfi bi\u1ec3u th\u1ee9c:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(A+B)(C+D) = A(C+D) + B(C+D) = AC + AD + BC + BD<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quy t\u1eafc nh\u00e2n \u0111a th\u1ee9c v\u1edbi \u0111a th\u1ee9c c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng v\u1edbi nh\u1eefng bi\u1ec3u th\u1ee9c ch\u1ee9a nhi\u1ec1u \u1ea9n s\u1ed1.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1c b\u00e0i t\u1eadp nh\u00e2n \u0111a th\u1ee9c v\u1edbi \u0111a th\u1ee9c n\u00e2ng cao hay c\u01a1 b\u1ea3n c\u0169ng \u0111\u1ec1u tu\u00e2n theo quy t\u1eafc n\u00e0y.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p> Nh\u00e2n \u0111\u01a1n th\u1ee9c v\u1edbi \u0111a th\u1ee9c<\/p><\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">M\u1ed9t s\u1ed1 d\u1ea1ng nh\u00e2n \u0111a th\u1ee9c v\u1edbi \u0111a th\u1ee9c b\u00e0i t\u1eadp<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u00c1p d\u1ee5ng quy t\u1eafc nh\u00e2n \u0111a th\u1ee9c v\u1edbi \u0111a th\u1ee9c \u0111\u1ec3 gi\u1ea3i b\u00e0i t\u1eadp<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u00e0i 1: Th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a, (5x \u2013 2y)(x2 \u2013 xy + 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b, (x \u2013 1)(x + 1)(x + 2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c, 12 x2y2 (2x + y)(2x \u2013 y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">L\u1eddi gi\u1ea3i:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a, (5x \u2013 2y)(x2 \u2013 xy + 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 5&#215;3 \u2013 5x2y + 5x \u2013 2x2y + 2xy2 \u2013 2y<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 5&#215;3 \u2013 7x2y + 5x + 2xy2 \u2013 2y<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b, (x \u2013 1)(x + 1)(x + 2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= (x2 + x \u2013 x \u2013 1)(x + 2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= (x2 \u2013 1)(x + 2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x3 + 2&#215;2 \u2013 x \u2013 2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c, 12 x2y2 (2x + y)(2x \u2013 y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 12 x2y2 (4&#215;2 \u2013 2xy + 2xy \u2013 y2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 12 x2y2 (4&#215;2 \u2013 y2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 2x4y2 \u2013 12x2y4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u00e0i 2: Th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a, (1\/2 x \u2013 1) (2x \u2013 3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b, (x \u2013 7)(x \u2013 5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c, (x \u2013 1\/2 )(x + 1\/2 )(4x \u2013 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">L\u1eddi gi\u1ea3i:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a, (1\/2 x \u2013 1) (2x \u2013 3)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x2 \u2013 3\/2 x \u2013 2x + 3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x2 \u2013 7\/2 x + 3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b, (x \u20137)(x \u20135)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x2 \u2013 5x \u2013 7x + 3\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x2 \u2013 12x + 3\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c, (x \u2013 1\/2 )(x + 1\/2 )(4x \u2013 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= (x2 + 1\/2 x \u2013 1\/2 x \u2013 1\/4 )(4x \u2013 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= (x2 \u2013 1\/4 )(4x \u2013 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 4&#215;3 \u2013 x2 \u2013 x + 1\/4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u00e0i 3: Ch\u1ee9ng minh:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a, (x \u2013 1)(x2 + x + 1) = x3 \u2013 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b, (x3 + x2y + xy2 + y3)(x \u2013 y) = x4 \u2013 y4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">L\u1eddi gi\u1ea3i:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a, Ta c\u00f3: (x \u2013 1)(x2 + x +1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x3 + x2 + x \u2013 x2 \u2013 x \u2013 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x3 \u2013 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1ebf tr\u00e1i b\u1eb1ng v\u1ebf ph\u1ea3i n\u00ean \u0111\u1eb3ng th\u1ee9c \u0111\u01b0\u1ee3c ch\u1ee9ng minh.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b, Ta c\u00f3: (x3 + x2y + xy2 + y3)(x \u2013 y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x4 + x3y + x2y2 + xy3 \u2013 x3y \u2013 x2y2 \u2013 xy3 \u2013 y4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x4 \u2013 y4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1ebf tr\u00e1i b\u1eb1ng v\u1ebf ph\u1ea3i n\u00ean \u0111\u1eb3ng th\u1ee9c \u0111\u01b0\u1ee3c ch\u1ee9ng minh.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u00e0i 4: Cho a v\u00e0 b l\u00e0 hai s\u1ed1 t\u1ef1 nhi\u00ean. Bi\u1ebft a chia cho 3 d\u01b0 1; b chia cho 3 d\u01b0 2. Ch\u1ee9ng minh r\u1eb1ng ab chia cho 3 d\u01b0 2.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">L\u1eddi gi\u1ea3i:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ta c\u00f3: a chia cho 3 d\u01b0 1 \u21d2 a = 3q + 1 (q \u2208N)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b chia cho 3 d\u01b0 2 \u21d2 b = 3k + 2 (k \u2208N)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A.b = (3q +1)(3k + 2) = 9qk + 6q + 3k +2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u00ec 9 \u22ee 3 n\u00ean 9qk \u22ee 3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u00ec 6 \u22ee 3 n\u00ean 6q \u22ee 3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1eady a.b = 9qk + 6q + 3k + 2 = 3(3qk + 2q + k) +2 chia cho 3 d\u01b0 2.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u00e0i 5: Ch\u1ee9ng minh r\u1eb1ng bi\u1ec3u th\u1ee9c n(2n \u2013 3) \u2013 2n(n + 1) lu\u00f4n chia h\u1ebft cho 5 v\u1edbi m\u1ecdi s\u1ed1 nguy\u00ean n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">L\u1eddi gi\u1ea3i:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ta c\u00f3: n(2n \u2013 3) \u2013 2n(n + 1) = 2n2 \u2013 3n \u2013 2n2 \u2013 2n = \u2013 5n<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u00ec -5 \u22ee 5 n\u00ean -5n \u22ee 5 v\u1edbi m\u1ecdi n \u2208 Z .<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u00e0i 6: T\u00ecm x, bi\u1ebft:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(12x \u2013 5)(4x \u2013 1) + (3x \u2013 7)(1 -16x) = 81.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u00e1p \u00e1n v\u00e0 h\u01b0\u1edbng d\u1eabn gi\u1ea3i:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(12x \u2013 5)(4x \u2013 1) + (3x \u2013 7)(1 -16x) = 81<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">4x(12x-5) \u2013 (12x-5) + (3x-7) -16x (3x-7) =81<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">48&#215;2 \u2013 20x \u2013 12x + 5 + 3x \u2013 7 \u2013 48&#215;2 + 112x = 81<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">83x \u2013 2 = 81<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">83x = 83<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u00e0i 7: T\u00ecm ba s\u1ed1 t\u1ef1 nhi\u00ean ch\u1eb5n li\u00ean ti\u1ebfp, bi\u1ebft t\u00edch c\u1ee7a hai s\u1ed1 sau l\u1edbn h\u01a1n t\u00edch c\u1ee7a hai s\u1ed1 \u0111\u1ea7u l\u00e0 192.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u00e1p \u00e1n v\u00e0 h\u01b0\u1edbng d\u1eabn gi\u1ea3i:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">G\u1ecdi ba s\u1ed1 ch\u1eb5n li\u00ean ti\u1ebfp l\u00e0 a, a + 2, a + 4.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ta c\u00f3: (a + 2)(a + 4) \u2013 a(a + 2) = 192<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a2 + 4a + 2a + 8 \u2013 a2 \u2013 2a = 192<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">4a = 192 \u2013 8 = 184<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a = 46<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1eady ba s\u1ed1 \u0111\u00f3 l\u00e0 46, 48, 50.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1ch kh\u00e1c gi\u1ea3i b\u00e0i 14:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">G\u1ecdi ba s\u1ed1 t\u1ef1 nhi\u00ean ch\u1eb5n li\u00ean ti\u1ebfp l\u00e0 2x + 2 v\u00e0 2x + 4 v\u1edbi x \u2208 N<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ta c\u00f3: (2x + 2)(2x +4) = 2x(2x + 2) + 192<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&lt;=&gt; 2x(2x + 2) + 4(2x + 2) = 2x(2x + 2) + 192<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&lt;=&gt; 4&#215;2 + 4x + 8x + 8 = 4&#215;2 + 4x + 192<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&lt;=&gt; 4&#215;2 + 4x + 8x \u2013 4&#215;2 \u2013 4x = 192 \u2013 8<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&lt;=&gt; 8x = 184<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">=&gt; x = 184 : 8 = 23<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean c\u1ea7n t\u00ecm l\u00e0: 46; 48 v\u00e0 50<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u00e0i 8: L\u00e0m t\u00ednh nh\u00e2n:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a) (1\/2x + y)(1\/2x + y);<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b) (x -1\/2y)(x \u2013 1\/2y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u00e1p \u00e1n v\u00e0 h\u01b0\u1edbng d\u1eabn gi\u1ea3i:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a) (1\/2x + y)(1\/2x + y) = 1\/2x . 1\/2x +1\/2 x . y + y . 1\/2x + y . y<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 1\/4&#215;2 +1\/2 xy +1\/2 xy + y2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">=1\/4&#215;2 + xy + y2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b) (x \u2013 1\/2y)(x \u2013 1\/2y) = x . x + x(-1\/2y) + (-1\/2y . x) + (- 1\/2y)(-1\/2y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x2 \u2013 1\/2xy \u2013 1\/2xy + 1\/4y2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= x2 \u2013 xy + 1\/4y2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u1ecdc to\u00e1n th\u1ebf n\u00e0o cho hi\u1ec7u qu\u1ea3?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To\u00e1n h\u1ecdc s\u1ebd th\u1ef1c s\u1ef1 tr\u1edf n\u00ean th\u00fa v\u1ecb n\u1ebfu c\u00f3 <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc<\/a> hi\u1ec7u qu\u1ea3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To\u00e1n h\u1ecdc l\u00e0 b\u1ed9 m\u00f4n c\u00f3 l\u01b0\u1ee3ng ki\u1ebfn th\u1ee9c r\u1ea5t \u0111a d\u1ea1ng, \u0111\u1eb7c bi\u1ec7t l\u00e0 ch\u00fang c\u00f3 m\u1ed1i quan h\u1ec7 ch\u1eb7t ch\u1ebd v\u1edbi nhau, do v\u1eady m\u00e0 m\u1ed9t l\u1ed7 h\u1ed5ng ki\u1ebfn th\u1ee9c c\u00f3 th\u1ec3 s\u1ebd g\u00e2y kh\u00f3 kh\u0103n cho vi\u1ec7c ti\u1ebfp thu ti\u1ebfp theo. Ch\u00fang ta n\u00ean c\u00f3 <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc<\/a> to\u00e1n hi\u1ec7u qu\u1ea3 v\u00e0 ph\u00f9 h\u1ee3p, \u0111\u00e2y ch\u00ednh l\u00e0 y\u1ebfu t\u1ed1 \u1ea3nh h\u01b0\u1edfng r\u1ea5t l\u1edbn \u0111\u1ebfn hi\u1ec7u qu\u1ea3 h\u1ecdc c\u0169ng nh\u01b0 l\u01b0\u1ee3ng ki\u1ebfn th\u1ee9c m\u00e0 ch\u00fang ta th\u1ef1c s\u1ef1 nh\u1eadn \u0111\u01b0\u1ee3c. M\u1ed9t s\u1ed1 b\u00ed quy\u1ebft h\u1ecdc to\u00e1n \u0111\u01b0\u1ee3c khuy\u1ebfn kh\u00edch s\u1eed d\u1ee5ng nh\u01b0:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">L\u1eafng nghe v\u00e0 ghi ch\u00e9p nh\u1eefng th\u00f4ng tin h\u1eefu \u00edch t\u1eeb l\u1eddi gi\u1ea3ng c\u1ee7a th\u1ea7y c\u00f4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Kh\u00f4ng n\u00ean ch\u1ec9 t\u1eadp trung v\u00e0o ph\u1ea7n b\u00e0i t\u1eadp m\u00e0 xem nh\u1eb9 ph\u1ea7n l\u00fd thuy\u1ebft<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Li\u00ean t\u1ee5c th\u1ef1c h\u00e0nh, l\u00e0m quen v\u00e0 r\u00e8n luy\u1ec7n v\u1edbi nhi\u1ec1u d\u1ea1ng b\u00e0i t\u1eadp, nhi\u1ec1u ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i \u0111\u1ec3 t\u00edch l\u0169y kinh nghi\u1ec7m.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u1ecdc t\u1eeb d\u1ec5 \u0111\u1ebfn kh\u00f3, l\u00e0m quen v\u1edbi c\u00e1c d\u1ea1ng t\u1eeb c\u01a1 b\u1ea3n tr\u01b0\u1edbc, sau \u0111\u00f3 m\u1eddi \u0111\u1ebfn n\u00e2ng cao d\u1ea7n d\u1ea7n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u00f3m t\u1eaft \u0111\u1ec1 b\u00e0i tr\u01b0\u1edbc khi gi\u1ea3i \u0111\u1ec3 d\u1ec5 d\u00e0ng nh\u1eadn bi\u1ebft d\u1eef li\u1ec7u c\u1ee7a \u0111\u1ec1, tr\u00e1nh b\u1ecf s\u00f3t chi ti\u1ebft quan tr\u1ecdng<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u1ef1 r\u1ee7 c\u00e1 b\u00e0i h\u1ecdc cho ri\u00eang m\u00ecnh, l\u1ef1a ch\u1ecdn \u0111\u01b0\u1ee3c ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i th\u00edch h\u1ee3p v\u00e0 nh\u1eadn bi\u1ebft c\u00e1c d\u1ea1ng b\u00e0i.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ghi ch\u00fa ri\u00eang v\u1edbi nh\u1eefng l\u1ed7i sai, c\u00e1ch kh\u1eafc ph\u1ee5c ch\u00fang \u0111\u1ec3 tr\u00e1nh l\u1eb7p l\u1ea1i \u1edf nh\u1eefng l\u1ea7n sau.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Tr\u00ean \u0111\u00e2y l\u00e0 nh\u1eefng ki\u1ebfn th\u1ee9c l\u00fd thuy\u1ebft v\u00e0 b\u00e0i t\u1eadp v\u1ec1 nh\u00e2n \u0111a th\u1ee9c v\u1edbi \u0111a th\u1ee9c to\u00e1n 8 m\u00e0 ch\u00fang t\u00f4i mu\u1ed1n chia s\u1ebb. Hy v\u1ecdng b\u00e0i vi\u1ebft b\u1ed5 \u00edch \u0111\u00e3 gi\u00fap c\u00e1c b\u1ea1n c\u00f3 nh\u1eefng gi\u00e2y ph\u00fat kh\u00e1m ph\u00e1 nh\u00e2n \u0111a th\u1ee9c v\u1edbi \u0111a th\u1ee9c c\u00f9ng Vietlearn th\u1eadt th\u00fa v\u1ecb v\u00e0 hi\u1ec7u qu\u1ea3. \u0110\u1ec3 t\u00ecm hi\u1ec3u th\u00eam ki\u1ebfn th\u1ee9c v\u1ec1 nhi\u1ec1u m\u00f4n h\u1ecdc kh\u00e1c n\u1eefa, h\u00e3y truy c\u1eadp website:Vietlearn.org\/ nh\u00e9! Ch\u00fac c\u00e1c b\u1ea1n \u0111\u1ea1t k\u1ebft qu\u1ea3 <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc t\u1eadp<\/a> th\u1eadt t\u1ed1t!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u00ecm hi\u1ec3u th\u00eam:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nh\u1eefng h\u1eb1ng \u0111\u1eb3ng th\u1ee9c \u0111\u00e1ng nh\u1edb<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ph\u00e9p nh\u00e2n<\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn Nh\u00e2n \u0111a th\u1ee9c v\u1edbi \u0111a th\u1ee9c l\u1edbp 8 l\u00e0 ph\u1ea7n ki\u1ebfn th\u1ee9c v\u00f4 c\u00f9ng quan tr\u1ecdng, c\u00f3 li\u00ean quan ch\u1eb7t s\u1ebd v\u1edbi nh\u1eefng b\u00e0i h\u1ecdc \u0111\u1ea1i s\u1ed1 ti\u1ebfp theo. Tuy nhi\u00ean c\u00e1c b\u00e0i t\u1eadp \u0111a d\u1ea1ng c\u0169ng khi\u1ebfn nhi\u1ec1u h\u1ecdc sinh ng\u00e1n ng\u1ea9m. Nh\u01b0ng \u0111\u1eebng qu\u00e1 lo l\u1eafng nh\u00e9! [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[9,4],"tags":[],"class_list":["post-975","post","type-post","status-publish","format-standard","hentry","category-toan-hoc","category-trung-hoc"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/975","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=975"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/975\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=975"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=975"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=975"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}